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Baryon Decuplet Masses From the Viewpoint of q-Equidistance

A. M. Gavrilik·I. I. Kachurik·A. V. Tertychnyj
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Abstract

Masses of baryons {3/2}^+ are calculated on the base of representations of dynamical "pseudounitary" q-deformed algebra u(4,1)_q which provides necessary breaking of the 4-flavor symmetry realized by the assumed q-algebra su(4)_q. It is demonstrated that, contrary to the case of su(3)_q octet baryons {1/2}^+, one and the same q-analog of mass relation for baryons {3/2}^+ from decuplet embedded into 20-plet of su(4)_q follows from evaluations within all the different admissible "dynamical" representations.

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A. M. Gavrilik, I. I. Kachurik, A. V. Tertychnyj. 2004-04-28. Baryon Decuplet Masses From the Viewpoint of q-Equidistance. https://arxiv.org/abs/hep-ph/0404259

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